GCF of 9846/649, 6954/1905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9846/649, 6954/1905 i.e 6/1236345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9846/649, 6954/1905.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9846/649,6954/1905?
Given fractions are 9846/649,6954/1905
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9846/649,6954/1905, numerators are 9846,6954
Denominators are 649,1905
The GCF of 9846,6954 is 6 .
LCM of 649,1905 is 1236345.
The greatest common factor of 9846/649,6954/1905 = [GCF of 9846,6954]/[LCM of 649,1905]= 6/1236345
Therefore, the GCF of 9846/649,6954/1905 is 6/1236345.
To find the highest common factor of 9846,6954, we have to find the factors of both numbers and list the highest common factor.
The factors of 9846 are 1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846
The factors of 6954 are 1, 2, 3, 6, 19, 38, 57, 61, 114, 122, 183, 366, 1159, 2318, 3477, 6954
The HCF of 9846,6954 is 6.
Lets's calculate GCF of 9846,6954
| 2 | 9846, 6954 |
| 3 | 4923, 3477 |
| 1641, 1159 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9846,6954 By Matching Biggest Common Factor Method
Now, list down the factors of 9846
:1,2,3,6,9,18,547,1094,1641,3282,4923,9846
Now, list down the factors of 6954
:1,2,3,6,19,38,57,61,114,122,183,366,1159,2318,3477,6954
Greatest Common Factor
We found the factors 9846,6954 . The biggest common factor number is the GCF number.
So the greatest common factor 9846,6954 is 6.
Lets's calculate LCM of 649,1905
Given numbers has no common factors except 1. So, there LCM is their product i.e 1236345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1236345
Therefore, the GCF of Fractions 9846/649,6954/1905 is 6/1236345
Least Common Multiple of 649,1905 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 649,1905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,1905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,1905) x common factors =1 x 1 = 1
LCM(649,1905) = ( 649 × 1905 ) / 1
LCM(649,1905) = 1236345 / 1
LCM(649,1905) = 1236345
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FAQs on GCF of Fractions of 9846/649, 6954/1905
1. What is the HCF of 9846,6954?
The HCF of 9846,6954 is 6
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9846/649, 6954/1905?
Answer: GCF of Numerators as per given numbers 9846/649, 6954/1905 is
GCF of Numerators i.e. for 9846,6954 is 6
LCM of denominators i.e. for 649,1905 is 1236345.
Thus, GCF of Fractions is 6/1236345.Finally, GCF of Fractions for 9846/649, 6954/1905 is 6/1236345.